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arXiv · 2011.11988

Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process

Xiaobin Sun·Huilian Xia·Yingchao Xie·Xingcheng Zhou
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Abstract

In this paper, the strong averaging principle is researched for a class of H\"{o}lder continuous drift slow-fast SPDEs with $\alpha$-stable process by the Zvonkin's transformation and the classical Khasminkii's time discretization method. As applications, an example is also provided to explain our result.

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Xiaobin Sun, Huilian Xia, Yingchao Xie, Xingcheng Zhou. 2020-11-24. Strong averaging principle for a class of slow-fast singular SPDEs driven by $\alpha$-stable process. https://arxiv.org/abs/2011.11988

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